{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "palette = 'muted'\n",
    "sns.set_palette(palette); sns.set_color_codes(palette)\n",
    "np.set_printoptions(precision=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "clusters = 3\n",
    "\n",
    "n_cluster = [90, 50, 75]\n",
    "n_total = sum(n_cluster)\n",
    "\n",
    "means = [9, 21, 35]\n",
    "std_devs = [2, 2, 2]\n",
    "\n",
    "mix = np.random.normal(np.repeat(means, n_cluster), np.repeat(std_devs, n_cluster))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "image/png": 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F7exm9TI/MCYmjvezflE5m3Z188qebq5fOjbj9dvqrd7eyrlj1wsZqfcrkUZY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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f43841dfba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(np.array(mix))\n",
    "plt.xlabel('$x$', fontsize=14)\n",
    "plt.savefig('B04958_07_01.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Author: Thomas Boggs\n",
    "\n",
    "import matplotlib.tri as tri\n",
    "from functools import reduce\n",
    "from matplotlib import ticker, cm\n",
    "\n",
    "_corners = np.array([[0, 0], [1, 0], [0.5, 0.75**0.5]])\n",
    "_triangle = tri.Triangulation(_corners[:, 0], _corners[:, 1])\n",
    "_midpoints = [(_corners[(i + 1) % 3] + _corners[(i + 2) % 3]) / 2.0 for i in range(3)]\n",
    "\n",
    "def xy2bc(xy, tol=1.e-3):\n",
    "    '''Converts 2D Cartesian coordinates to barycentric.\n",
    "    Arguments:\n",
    "        xy: A length-2 sequence containing the x and y value.\n",
    "    '''\n",
    "    s = [(_corners[i] - _midpoints[i]).dot(xy - _midpoints[i]) / 0.75 for i in range(3)]\n",
    "    return np.clip(s, tol, 1.0 - tol)\n",
    "\n",
    "class Dirichlet(object):\n",
    "    def __init__(self, alpha):\n",
    "        '''Creates Dirichlet distribution with parameter `alpha`.'''\n",
    "        from math import gamma\n",
    "        from operator import mul\n",
    "        self._alpha = np.array(alpha)\n",
    "        self._coef = gamma(np.sum(self._alpha)) /reduce(mul, [gamma(a) for a in self._alpha])\n",
    "    def pdf(self, x):\n",
    "        '''Returns pdf value for `x`.'''\n",
    "        from operator import mul\n",
    "        return self._coef * reduce(mul, [xx ** (aa - 1)\n",
    "                                         for (xx, aa)in zip(x, self._alpha)])\n",
    "    def sample(self, N):\n",
    "        '''Generates a random sample of size `N`.'''\n",
    "        return np.random.dirichlet(self._alpha, N)\n",
    "\n",
    "def draw_pdf_contours(dist, nlevels=100, subdiv=8, **kwargs):\n",
    "    '''Draws pdf contours over an equilateral triangle (2-simplex).\n",
    "    Arguments:\n",
    "        dist: A distribution instance with a `pdf` method.\n",
    "        border (bool): If True, the simplex border is drawn.\n",
    "        nlevels (int): Number of contours to draw.\n",
    "        subdiv (int): Number of recursive mesh subdivisions to create.\n",
    "        kwargs: Keyword args passed on to `plt.triplot`.\n",
    "    '''\n",
    "    refiner = tri.UniformTriRefiner(_triangle)\n",
    "    trimesh = refiner.refine_triangulation(subdiv=subdiv)\n",
    "    pvals = [dist.pdf(xy2bc(xy)) for xy in zip(trimesh.x, trimesh.y)]\n",
    "\n",
    "    plt.tricontourf(trimesh, pvals, nlevels, cmap=cm.Blues, **kwargs)\n",
    "    plt.axis('equal')\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, 0.75**0.5)\n",
    "    plt.axis('off')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/c39duQj5mhBxFPaZPK2SzMiQTHPlvlZo7aG1wlMeSiuU1qAD95gkDqHfJeqe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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4383115f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alphas = [[0.5] * 3, [1] * 3, [10] * 3, [2, 5, 10]]\n",
    "for (i, alpha) in enumerate(alphas):\n",
    "    plt.subplot(2, 2, i + 1)\n",
    "    dist = Dirichlet(alpha)\n",
    "    draw_pdf_contours(dist)\n",
    "    plt.title(r'$\\alpha$ = ({:.1f}, {:.1f}, {:.1f})'.format(*alpha), fontsize=16)\n",
    "    \n",
    "plt.savefig('B04958_07_02.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:11: DeprecationWarning: ElemwiseCategorical is deprecated, switch to CategoricalGibbsMetropolis.\n",
      "100%|██████████| 10000/10000 [01:08<00:00, 147.02it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_kg:\n",
    "    # Each observation is assigned to a cluster/component with probability p\n",
    "    p = pm.Dirichlet('p', a=np.ones(clusters))\n",
    "    category = pm.Categorical('category', p=p, shape=n_total) \n",
    "    \n",
    "    # Known Gaussians means\n",
    "    means = pm.math.constant([10, 20, 35])\n",
    "\n",
    "    y = pm.Normal('y', mu=means[category], sd=2, observed=mix)\n",
    "\n",
    "    step1 = pm.ElemwiseCategorical(vars=[category], values=range(clusters))\n",
    "    ## The CategoricalGibbsMetropolis is a recent addition to PyMC3\n",
    "    ## I have not find the time yet to experiment with it.\n",
    "    #step1 = pm.CategoricalGibbsMetropolis(vars=[category]) \n",
    "    step2 = pm.Metropolis(vars=[p])\n",
    "    trace_kg = pm.sample(10000, step=[step1, step2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zkq4Y6YvJEvtGW3hN3SlZna5PcoydVrmVM/Eis8vd7VFWLFvMrZSYWyk1za8GsQDnnVQq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\nY4wxxlTQ/wOKVCPQraCPjwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4381565cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_kg = trace_kg[1000:]\n",
    "varnames_kg = ['p']\n",
    "pm.traceplot(chain_kg, varnames_kg)\n",
    "plt.savefig('B04958_07_03.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>p__0</th>\n",
       "      <td>0.417704</td>\n",
       "      <td>0.033752</td>\n",
       "      <td>0.001013</td>\n",
       "      <td>0.346829</td>\n",
       "      <td>0.479218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p__1</th>\n",
       "      <td>0.233552</td>\n",
       "      <td>0.028791</td>\n",
       "      <td>0.000890</td>\n",
       "      <td>0.177837</td>\n",
       "      <td>0.288710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p__2</th>\n",
       "      <td>0.348745</td>\n",
       "      <td>0.032943</td>\n",
       "      <td>0.001060</td>\n",
       "      <td>0.289454</td>\n",
       "      <td>0.417193</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          mean        sd  mc_error   hpd_2.5  hpd_97.5\n",
       "p__0  0.417704  0.033752  0.001013  0.346829  0.479218\n",
       "p__1  0.233552  0.028791  0.000890  0.177837  0.288710\n",
       "p__2  0.348745  0.032943  0.001060  0.289454  0.417193"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain_kg, varnames_kg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#krusckeplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:12: DeprecationWarning: ElemwiseCategorical is deprecated, switch to CategoricalGibbsMetropolis.\n",
      "100%|██████████| 10000/10000 [01:08<00:00, 145.12it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_ug:\n",
    "    # Each observation is assigned to a cluster/component with probability p\n",
    "    p = pm.Dirichlet('p', a=np.ones(clusters))\n",
    "    category = pm.Categorical('category', p=p, shape=n_total) \n",
    "    \n",
    "    # We estimate the unknown gaussians means and standard deviation\n",
    "    means = pm.Normal('means', mu=[10, 20, 35], sd=2, shape=clusters)\n",
    "    sd = pm.HalfCauchy('sd', 5)\n",
    "\n",
    "    y = pm.Normal('y', mu=means[category], sd=sd, observed=mix)\n",
    "\n",
    "    step1 = pm.ElemwiseCategorical(vars=[category], values=range(clusters))\n",
    "    step2 = pm.Metropolis(vars=[means, sd, p])\n",
    "    trace_ug = pm.sample(10000, step=[step1, step2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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S1VuflrEzFENJskTrFnsXXFqSBWDK0vnFepRSB5VSn1dKnVRK7VZKfbHaYZMQ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KmSq7bSBH1O1vS5uWxTbY/6Yly+2c+GQavoSmU+ZeX7q5MsSWuWUp5aqgCLVHdSdIjzM1n+9jtj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PrTznIvLqdsJPP4VR30Dwg3eiGaW/gnI6hKNJvvGb48QT8PFrG6jwFvb96hUBKt55K0P3/ZSB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\nigLy/wERttZPzs9dQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f43874a2da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_ug = trace_ug[1000:]\n",
    "varnames_ug = ['means', 'sd', 'p']\n",
    "pm.traceplot(chain_ug, varnames_ug)\n",
    "plt.savefig('B04958_07_05.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>means__0</th>\n",
       "      <td>9.236211</td>\n",
       "      <td>0.204840</td>\n",
       "      <td>0.006034</td>\n",
       "      <td>8.855020</td>\n",
       "      <td>9.650851</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>means__1</th>\n",
       "      <td>20.956618</td>\n",
       "      <td>0.283828</td>\n",
       "      <td>0.010723</td>\n",
       "      <td>20.428733</td>\n",
       "      <td>21.518236</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>means__2</th>\n",
       "      <td>34.729593</td>\n",
       "      <td>0.227088</td>\n",
       "      <td>0.007594</td>\n",
       "      <td>34.293947</td>\n",
       "      <td>35.166756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sd</th>\n",
       "      <td>1.957342</td>\n",
       "      <td>0.096721</td>\n",
       "      <td>0.002740</td>\n",
       "      <td>1.764754</td>\n",
       "      <td>2.143292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p__0</th>\n",
       "      <td>0.418383</td>\n",
       "      <td>0.033549</td>\n",
       "      <td>0.000843</td>\n",
       "      <td>0.345666</td>\n",
       "      <td>0.480083</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p__1</th>\n",
       "      <td>0.234181</td>\n",
       "      <td>0.028187</td>\n",
       "      <td>0.000870</td>\n",
       "      <td>0.177693</td>\n",
       "      <td>0.286096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p__2</th>\n",
       "      <td>0.347436</td>\n",
       "      <td>0.032414</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.286669</td>\n",
       "      <td>0.410189</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               mean        sd  mc_error    hpd_2.5   hpd_97.5\n",
       "means__0   9.236211  0.204840  0.006034   8.855020   9.650851\n",
       "means__1  20.956618  0.283828  0.010723  20.428733  21.518236\n",
       "means__2  34.729593  0.227088  0.007594  34.293947  35.166756\n",
       "sd         1.957342  0.096721  0.002740   1.764754   2.143292\n",
       "p__0       0.418383  0.033549  0.000843   0.345666   0.480083\n",
       "p__1       0.234181  0.028187  0.000870   0.177693   0.286096\n",
       "p__2       0.347436  0.032414  0.000942   0.286669   0.410189"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain_ug, varnames_ug)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 50/50 [00:01<00:00, 22.19it/s]\n"
     ]
    }
   ],
   "source": [
    "ppc = pm.sample_ppc(chain_ug, 50, model_ug)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "image/png": 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XoFF2aFYtdvu3Y1oug4WnWV5e4Ew7pd3XQrDR0UKwTkkzhcKgO5C05k+hZIZX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\nYGZWORcCM7PKuRCYmVXOhcDMrHJ/AZNcOcUI1KiCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f437b8b5ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in ppc['y']:\n",
    "    sns.kdeplot(i, alpha=0.1, color='b')\n",
    "\n",
    "sns.kdeplot(np.array(mix), lw=2, color='k') # you may want to replace this with the posterior mean\n",
    "plt.xlabel('$x$', fontsize=14)\n",
    "\n",
    "plt.savefig('B04958_07_06.png', dpi=300, figsize=[5.5, 5.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Marginalized Gaussian Mixture model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 5000/5000 [00:05<00:00, 997.56it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_mg:\n",
    "    p = pm.Dirichlet('p', a=np.ones(clusters))\n",
    "\n",
    "    means = pm.Normal('means', mu=[10, 20, 35], sd=2, shape=clusters)\n",
    "    sd = pm.HalfCauchy('sd', 5)\n",
    "    \n",
    "    y = pm.NormalMixture('y', w=p, mu=means, sd=sd, observed=mix)\n",
    "    \n",
    "    step = pm.Metropolis()\n",
    "    trace_mg = pm.sample(5000, step)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rLhOaEN/4hCbEGENoQo6VnyYf5Fase8afXrJtdYEJ1twv68kHOY5XnuZcdfUe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447ZGEc2aKU5Qbeg90BxiPpkhYaV1zaO3NTmP3H4wsKX/4qna2ORTG/AHdP++Lw/dyt4aXHlyfO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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f437c49e4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_mg = trace_mg[500:]\n",
    "varnames_mg = ['means', 'sd', 'p']\n",
    "pm.traceplot(chain_mg, varnames_mg);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Zero inflated Poisson model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jaA1GNp5/37szqft7RlbFWGIdIgGg9dGHCFWfxDBNShtMxj+zGd+OrXHTjL6H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\nDgsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f438111ee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lam_params = [0.5, 1.5, 3, 8]\n",
    "k = np.arange(0, max(lam_params) * 3)\n",
    "for lam in lam_params:\n",
    "    y = stats.poisson(lam).pmf(k)\n",
    "    plt.plot(k, y, 'o-', label=\"$\\\\lambda$ = {:3.1f}\".format(lam))\n",
    "plt.legend()\n",
    "plt.xlabel('$k$', fontsize=14)\n",
    "plt.ylabel('$pmf(k)$', fontsize=14)\n",
    "plt.savefig('B04958_07_07.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "n = 100\n",
    "theta = 2.5  # Poisson rate\n",
    "pi = 0.1  # probability of extra-zeros (pi = 1-psi)\n",
    "\n",
    "# Simulate some data\n",
    "counts = np.array([(np.random.random() > pi) * np.random.poisson(theta) for i in range(n)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#plt.hist(counts, bins=30);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 5000/5000 [00:05<00:00, 937.85it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as ZIP:\n",
    "    psi = pm.Beta('psi', 1, 1)\n",
    "    lam = pm.Gamma('lam', 2, 0.1)\n",
    "    \n",
    "    y = pm.ZeroInflatedPoisson('y', lam, psi, observed=counts)\n",
    "    trace_ZIP = pm.sample(5000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CqIe1A7hNCLEZeFRK+Uqrsu45WjwbbHZ9KUdO1y0NglLp3Ky4EHMzn3tGyXps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\n5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vN5TNOoSuK7HlRaDy7s93FiJFHyPRkNujh9LrW0nl6l7BoIMDWXrNmcvFqR9Z796y8m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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f435145d470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_ZIP = trace_ZIP[100:]\n",
    "pm.traceplot(chain_ZIP);\n",
    "plt.savefig('B04958_07_08.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>psi</th>\n",
       "      <td>0.800781</td>\n",
       "      <td>0.049409</td>\n",
       "      <td>0.001337</td>\n",
       "      <td>0.708644</td>\n",
       "      <td>0.897532</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lam</th>\n",
       "      <td>2.546409</td>\n",
       "      <td>0.204578</td>\n",
       "      <td>0.003423</td>\n",
       "      <td>2.135169</td>\n",
       "      <td>2.928418</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         mean        sd  mc_error   hpd_2.5  hpd_97.5\n",
       "psi  0.800781  0.049409  0.001337  0.708644  0.897532\n",
       "lam  2.546409  0.204578  0.003423  2.135169  2.928418"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain_ZIP)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Zero inflated Poisson regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Kruschke plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>nofish</th>\n",
       "      <th>livebait</th>\n",
       "      <th>camper</th>\n",
       "      <th>persons</th>\n",
       "      <th>child</th>\n",
       "      <th>xb</th>\n",
       "      <th>zg</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.896315</td>\n",
       "      <td>3.050405</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.558345</td>\n",
       "      <td>1.746149</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.401731</td>\n",
       "      <td>0.279939</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.956298</td>\n",
       "      <td>-0.601526</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.436891</td>\n",
       "      <td>0.527709</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   nofish  livebait  camper  persons  child        xb        zg  count\n",
       "0       1         0       0        1      0 -0.896315  3.050405      0\n",
       "1       0         1       1        1      0 -0.558345  1.746149      0\n",
       "2       0         1       0        1      0 -0.401731  0.279939      0\n",
       "3       0         1       1        2      1 -0.956298 -0.601526      0\n",
       "4       0         1       0        1      0  0.436891  0.527709      1"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fish_data = pd.read_csv('fish.csv')\n",
    "fish_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#plt.hist(fish_data['count'], bins=20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2000/2000 [00:06<00:00, 301.31it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as ZIP_reg:\n",
    "    psi = pm.Beta('psi', 1, 1)\n",
    "    \n",
    "    alpha = pm.Normal('alpha', 0, 10)\n",
    "    beta = pm.Normal('beta', 0, 10, shape=2)\n",
    "    lam = pm.math.exp(alpha + beta[0] * fish_data['child'] + beta[1] * fish_data['camper'])\n",
    "    \n",
    "    y = pm.ZeroInflatedPoisson('y', lam, psi, observed=fish_data['count'])\n",
    "    trace_ZIP_reg = pm.sample(2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gLWGFs/MJZuZXJp5NYR1WLcv8K/AnwG4hxLVCiLMtalehKImu63z33jHGZxO8/txOTtri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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f43472882e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain_ZIP_reg = trace_ZIP_reg[100:]\n",
    "pm.traceplot(chain_ZIP_reg);\n",
    "plt.savefig('B04958_07_10.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>alpha</th>\n",
       "      <td>1.610778</td>\n",
       "      <td>0.083275</td>\n",
       "      <td>0.002258</td>\n",
       "      <td>1.459838</td>\n",
       "      <td>1.774502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta__0</th>\n",
       "      <td>-0.930333</td>\n",
       "      <td>0.095332</td>\n",
       "      <td>0.002434</td>\n",
       "      <td>-1.124849</td>\n",
       "      <td>-0.757806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta__1</th>\n",
       "      <td>0.808623</td>\n",
       "      <td>0.089715</td>\n",
       "      <td>0.002457</td>\n",
       "      <td>0.628221</td>\n",
       "      <td>0.974075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>psi</th>\n",
       "      <td>0.484984</td>\n",
       "      <td>0.034880</td>\n",
       "      <td>0.001142</td>\n",
       "      <td>0.414199</td>\n",
       "      <td>0.549104</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             mean        sd  mc_error   hpd_2.5  hpd_97.5\n",
       "alpha    1.610778  0.083275  0.002258  1.459838  1.774502\n",
       "beta__0 -0.930333  0.095332  0.002434 -1.124849 -0.757806\n",
       "beta__1  0.808623  0.089715  0.002457  0.628221  0.974075\n",
       "psi      0.484984  0.034880  0.001142  0.414199  0.549104"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(chain_ZIP_reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "children =  [0, 1, 2, 3, 4]\n",
    "fish_count_pred_0 = []\n",
    "fish_count_pred_1 = []\n",
    "thin = 5\n",
    "for n in children:\n",
    "    without_camper = chain_ZIP_reg['alpha'][::thin] + chain_ZIP_reg['beta'][:,0][::thin] * n\n",
    "    with_camper = without_camper + chain_ZIP_reg['beta'][:,1][::thin]\n",
    "    fish_count_pred_0.append(np.exp(without_camper))\n",
    "    fish_count_pred_1.append(np.exp(with_camper))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hIoWsrSeaz2xpOdeqcLtCBYBwNMfB5Km6qkr44gtIOEQIQWUYPF7qgn5K+vbL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4346ea2b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(children, fish_count_pred_0, 'bo', alpha=0.01)\n",
    "plt.plot(children, fish_count_pred_1, 'ro', alpha=0.01)\n",
    "\n",
    "plt.xticks(children);\n",
    "plt.xlabel('Number of children', fontsize=14)\n",
    "plt.ylabel('Fish caught', fontsize=14)\n",
    "plt.plot([], 'bo', label='without camper')\n",
    "plt.plot([], 'ro', label='with camper')\n",
    "plt.legend(fontsize=14)\n",
    "plt.savefig('B04958_07_11.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Robust logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xFxG/DbyHxlt9n03jHmBLM3Nfc77Ssde3gI+IhcAngSfajG8GfgX4CTAaEV/IzB9O38r8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\nDPBlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f435eb422b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris = sns.load_dataset(\"iris\")\n",
    "df = iris.query(\"species == ('setosa', 'versicolor')\")\n",
    "y_0 = pd.Categorical(df['species']).codes\n",
    "x_n = 'sepal_length' \n",
    "x_0 = df[x_n].values\n",
    "y_0 = np.concatenate((y_0, np.ones(6)))\n",
    "x_0 = np.concatenate((x_0, [4.2, 4.5, 4.0, 4.3, 4.2, 4.4]))\n",
    "x_0_m = x_0 - x_0.mean()\n",
    "plt.plot(x_0, y_0, 'o', color='k')\n",
    "plt.savefig('B04958_07_12.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2000/2000 [00:12<00:00, 154.29it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_rlg:\n",
    "    alpha_tmp = pm.Normal('alpha_tmp', mu=0, sd=100)\n",
    "    beta = pm.Normal('beta', mu=0, sd=10)\n",
    "    \n",
    "    mu = alpha_tmp + beta * x_0_m\n",
    "    theta = pm.Deterministic('theta', 1 / (1 + pm.math.exp(-mu)))\n",
    "    \n",
    "    pi = pm.Beta('pi', 1, 1)\n",
    "    p = pi * 0.5 + (1 - pi) * theta\n",
    "    \n",
    "    alpha = pm.Deterministic('alpha', alpha_tmp - beta * x_0.mean())\n",
    "    bd = pm.Deterministic('bd', -alpha/beta)\n",
    "    \n",
    "    yl = pm.Bernoulli('yl', p=p, observed=y_0)\n",
    "\n",
    "    trace_rlg = pm.sample(2000, start=pm.find_MAP())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eN6xf7S5dlEgp6zeRECKG9X25efV6tDS8sRfb1zUmIGxhzhbEo7o1q+2dHB/o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\nMkNuDn0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f433f9c7d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "varnames = ['alpha', 'beta', 'bd', 'pi']\n",
    "pm.traceplot(trace_rlg, varnames)\n",
    "plt.savefig('B04958_07_13.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>mc_error</th>\n",
       "      <th>hpd_2.5</th>\n",
       "      <th>hpd_97.5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>alpha</th>\n",
       "      <td>-88.045398</td>\n",
       "      <td>32.057573</td>\n",
       "      <td>1.990573</td>\n",
       "      <td>-151.353483</td>\n",
       "      <td>-32.683495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta</th>\n",
       "      <td>16.148924</td>\n",
       "      <td>5.867278</td>\n",
       "      <td>0.363771</td>\n",
       "      <td>6.209711</td>\n",
       "      <td>27.952638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bd</th>\n",
       "      <td>5.450774</td>\n",
       "      <td>0.054827</td>\n",
       "      <td>0.001557</td>\n",
       "      <td>5.338378</td>\n",
       "      <td>5.555840</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pi</th>\n",
       "      <td>0.300405</td>\n",
       "      <td>0.075640</td>\n",
       "      <td>0.001696</td>\n",
       "      <td>0.154393</td>\n",
       "      <td>0.447944</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            mean         sd  mc_error     hpd_2.5   hpd_97.5\n",
       "alpha -88.045398  32.057573  1.990573 -151.353483 -32.683495\n",
       "beta   16.148924   5.867278  0.363771    6.209711  27.952638\n",
       "bd      5.450774   0.054827  0.001557    5.338378   5.555840\n",
       "pi      0.300405   0.075640  0.001696    0.154393   0.447944"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(trace_rlg, varnames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RowTOxV6IZkacoCFSjxQIpG4NjERPKzE8EZAvfNxbE3naYrT7d6dUI5DGpkAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4362567ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = trace_rlg['theta'].mean(axis=0)\n",
    "idx = np.argsort(x_0)\n",
    "plt.plot(x_0[idx], theta[idx], color='b', lw=3);\n",
    "plt.axvline(trace_rlg['bd'].mean(), ymax=1, color='r')\n",
    "bd_hpd = pm.hpd(trace_rlg['bd'])\n",
    "plt.fill_betweenx([0, 1], bd_hpd[0], bd_hpd[1], color='r', alpha=0.5)\n",
    "\n",
    "plt.plot(x_0, y_0, 'o', color='k')\n",
    "theta_hpd = pm.hpd(trace_rlg['theta'])[idx]\n",
    "plt.fill_between(x_0[idx], theta_hpd[:,0], theta_hpd[:,1], color='b', alpha=0.5)\n",
    "\n",
    "plt.xlabel(x_n, fontsize=16)\n",
    "plt.ylabel('$\\\\theta$', rotation=0, fontsize=16)\n",
    "plt.savefig('B04958_07_14.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was created on a x86_64 computer running debian stretch/sid and using:\n",
      "Python 3.5.2\n",
      "IPython 5.0.0\n",
      "PyMC3 3.0.rc2\n",
      "NumPy 1.11.2\n",
      "SciPy 0.18.1\n",
      "Matplotlib 1.5.3\n",
      "Seaborn 0.7.1\n",
      "Pandas 0.19.0\n"
     ]
    }
   ],
   "source": [
    "import sys, IPython, scipy, matplotlib, platform\n",
    "print(\"This notebook was created on a %s computer running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nSciPy %s\\nMatplotlib %s\\nSeaborn %s\\nPandas %s\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, scipy.__version__, matplotlib.__version__, sns.__version__, pd.__version__))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
